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Simplifying 3y + -2 + y = 19 + 4y + -3y Reorder the terms: -2 + 3y + y = 19 + 4y + -3y Combine like terms: 3y + y = 4y -2 + 4y = 19 + 4y + -3y Combine like terms: 4y + -3y = 1y -2 + 4y = 19 + 1y Solving -2 + 4y = 19 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -2 + 4y + -1y = 19 + 1y + -1y Combine like terms: 4y + -1y = 3y -2 + 3y = 19 + 1y + -1y Combine like terms: 1y + -1y = 0 -2 + 3y = 19 + 0 -2 + 3y = 19 Add '2' to each side of the equation. -2 + 2 + 3y = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 19 + 2 3y = 19 + 2 Combine like terms: 19 + 2 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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